Search a number
-
+
10663260608 = 2671113179791
BaseRepresentation
bin10011110111001010…
…00111000111000000
31000112010210202122002
421323211013013000
5133314243314413
64522034403132
7525150135230
oct117345070700
930463722562
1010663260608
114582150580
1220971304a8
13100c235180
14732295cc0
15426224958
hex27b9471c0

10663260608 has 224 divisors, whose sum is σ = 30084784128. Its totient is φ = 3608985600.

The previous prime is 10663260583. The next prime is 10663260637. The reversal of 10663260608 is 80606236601.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×106632606082 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1084193 + ... + 1093983.

It is an arithmetic number, because the mean of its divisors is an integer number (134307072).

Almost surely, 210663260608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10663260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15042392064).

10663260608 is an abundant number, since it is smaller than the sum of its proper divisors (19421523520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10663260608 is a wasteful number, since it uses less digits than its factorization.

10663260608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9851 (or 9841 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 10663260608 in words is "ten billion, six hundred sixty-three million, two hundred sixty thousand, six hundred eight".